This is the eponymous Spider-Man cartoon which debuted in syndication in 1981. Ironically, the production of this series was kind of a 13-episode pilot to convince television networks to order a Spider-Man based series for Saturday morning programming. This series, which was self-funded by Marvel Productions (formerly, DePatie/Freling Studios) focused on college student and part-time photographer Peter Parker, better known as the Amazing Spider-Man.
This series focuses on his adventures defending New York City (and sometimes, the entire country) from a wide array of menaces, most of them pulled straight from the Marvel comic books.
There were guest stars from different corners of the Marvel Universe of the time.
The animation was competent by late 1970s/early 1980s standards, and the voice actors are all compelling and fit the characters well.
Surprisingly, there is something of a 'meta-arc' involving the Dr. Doom character that finally reaches a climax in the 13th and final episode.
As stated, this series was self-funded and produced for syndication as a one-and-done series. "Spider-Man and his Amazing Friends" debuted the same year on NBC and became popular in its own right.
This was a welcome update to Spider-Man for Generation X fans who would have been the first to see this on television. Certain components may come across as dated to Z fans and even some younger Generation Y folks who haven't known a time before Nickelodeon, Disney Channel or the Cartoon Network.
Still, this is a worthy entry in the overall Spider-Man canon.